- #1
iratxo_flores
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Homework Statement
Im taking a dynamics course and I am using The strogatz book Non-linear Dynamics and Chaos
I need to solve a problem that is similar to problem 6.1.14
Basically it consist in the following
You have a saddle node at (Ts,Zs) which is (1,1). Consider curves passing through this saddle point :
Z= Zs +h(T-Ts)
where h(s) is a power series:
h(s)= a1s+a2s2+a3s3+...
Find the coefficients for a1, a2 and a3+ for both stable and unstable manifolds of the saddle node at (Ts,Zs)
Homework Equations
I do know the following about the Unstable manifold (0,2) and (1,1) and (5,0) and for the stable manifold (0,0) and (1,1). all (T,Z) I am supposed to use the equation of above and figure out the coefficients.
The Attempt at a Solution
I already try to substitute the equation with the values that i know of but I am 1 equation short
any ideas?